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Finite extinction time for a class of non-linear parabolic equations

โœ Scribed by Diaz, Gregorio; Diaz, Ildefonso


Book ID
118192905
Publisher
Taylor and Francis Group
Year
1979
Tongue
English
Weight
404 KB
Volume
4
Category
Article
ISSN
0360-5302

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Finite Time Blow-up for a Non-linear Par
โœ Philippe Souplet ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 732 KB

We give new finite time blow-up results for the non-linear parabolic equations u, -Au = up and u, -Au + pIVul4 = up. We first establish an a priori bound in Lpf ' for the positive non-decreasing global solutions. As a consequence, we prove in particular that for the second equation on RN, with q = 2